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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.auc1.01

 Input Form

 HypergeometricPFQ[{5/2, 3, 3}, {7/2, 7/2}, -z] == (75 (3 Pi^2 + 4 Sqrt[z] + 3 Pi^2 z))/(256 z^(5/2) (1 + z)) + (75 (3 + 4 z) Log[1 + Sqrt[z] - Sqrt[1 + z]])/(64 z^2 (1 + z)^(3/2)) - (75 (3 + 4 z) Log[1 - Sqrt[z] + Sqrt[1 + z]])/(64 z^2 (1 + z)^(3/2)) - (75 (4 + 5 z) Log[Sqrt[z] + Sqrt[1 + z]])/(64 z^(5/2) (1 + z)^(3/2)) - (75 (3 + 4 z) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])])/(64 z^2 (1 + z)^(3/2)) + (225 Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/ (1 + Sqrt[z] + Sqrt[1 + z])])/(64 z^(5/2)) + (225 PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))])/(64 z^(5/2)) - (225 PolyLog[2, 1/(Sqrt[z] + Sqrt[1 + z])])/(64 z^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( 5 2 , 3 , 3 ; 7 2 , 7 2 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["3", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["3", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["7", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", "z"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] 75 ( 3 π 2 z + 4 z + 3 π 2 ) 256 z 5 / 2 ( z + 1 ) + 75 ( 4 z + 3 ) log ( z - z + 1 + 1 ) 64 z 2 ( z + 1 ) 3 / 2 - 75 ( 4 z + 3 ) log ( - z + z + 1 + 1 ) 64 z 2 ( z + 1 ) 3 / 2 - 75 ( 5 z + 4 ) log ( z + z + 1 ) 64 z 5 / 2 ( z + 1 ) 3 / 2 - 75 ( 4 z + 3 ) log ( z + z + 1 - 1 z + z + 1 + 1 ) 64 z 2 ( z + 1 ) 3 / 2 + 225 log ( z + z + 1 ) log ( z + z + 1 - 1 z + z + 1 + 1 ) 64 z 5 / 2 + 225 Li PolyLog 2 ( - 1 z + z + 1 ) 64 z 5 / 2 - 225 Li PolyLog 2 ( 1 z + z + 1 ) 64 z 5 / 2 HypergeometricPFQ 5 2 3 3 7 2 7 2 -1 z 75 3 2 z 4 z 1 2 3 2 256 z 5 2 z 1 -1 75 4 z 3 z 1 2 -1 z 1 1 2 1 64 z 2 z 1 3 2 -1 -1 75 4 z 3 -1 z 1 2 z 1 1 2 1 64 z 2 z 1 3 2 -1 -1 75 5 z 4 z 1 2 z 1 1 2 64 z 5 2 z 1 3 2 -1 -1 75 4 z 3 z 1 2 z 1 1 2 -1 z 1 2 z 1 1 2 1 -1 64 z 2 z 1 3 2 -1 225 z 1 2 z 1 1 2 z 1 2 z 1 1 2 -1 z 1 2 z 1 1 2 1 -1 64 z 5 2 -1 225 PolyLog 2 -1 1 z 1 2 z 1 1 2 -1 64 z 5 2 -1 -1 225 PolyLog 2 1 z 1 2 z 1 1 2 -1 64 z 5 2 -1 [/itex]

 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2007-05-02